임의의 곡률과 변두께를 갖는 두꺼운 축대칭 회전 셸의 3차원적 장방정식, 운동 방정식, 에너지 범함수
- Resource Type
- Academic Journal
- Authors
- 강재훈; 이은택; 양근혁
- Source
- 소음·진동. 2001-02 11(1):156-166
- Subject
- 3차원적 해석
나비어의 운동방정식
두꺼운 셸
변두께
에너지 범함수
임의의 곡률
장방정식
축 대칭 회전 셸
텐서 해석
Arbitrary Curvature
Energy Functionals
Field Equations
Navier′s Equations of Motion
Shell of Revolution
Tensor Analysis
Thick Shell
Three-dimensional Analysis
Variable Thickness
- Language
- Korean
- ISSN
- 1226-0924
This work uses tensor calculus to derive a complete set of three-dimensional field equations well-suited for determining the behavior of thick shells of revolution having arbitrary curvature and variable thickness. The material is assumed to be homogeneous, isotropic and linearly elastic. The equations are expressed in terms of coordinates tangent and normal to the shell middle surface. The relationships are combined to yield equations of motion in terms of orthogonal displacement components taken in the meridional, normal and circumferential directions. Strain energy and kinetic energy functionals are also presented. The equations of motion and energy functionals may be used to determine the static or dynamic displacements and stresses in shells of revolution, including free and forced vibration and wave propagation.